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Derivation of SST

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Old   October 31, 2013, 15:09
Default Derivation of SST
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I'm trying to blend the k-e/k-w models for a turbulence model similar to RANS. I was going through the SST paper (Zonal Two Equation k-w, Turbulence Models for Aerodynamic Flows. Florian R. Menter) hoping to follow the same steps. The only thing I can't figure out is in the transformed k-e model. It shows beta2 as 0.0828. When I take the original coefficients of the k-e equation, I came up with two forms of beta2. Cmu X Ce2 or beta* X Ce2, both of which give me a beta2=0.1728. Which is about twice that of the paper. Anyone familiar with the derivation of SST know how he got beta2? Did he just use different Ce2 than standard k-e or?
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k-e, k-epsilon, k-w, rans, sst k-omega

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